Three randomly selected children are surveyed. The ages of the children are 3, 4, and 11. Assume that samples of size n = 2 are randomly selected with replacement from the population of 3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (d). 3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11

a. Find the value of the population variance

b. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.

c. Find the mean of the sample variances.